BD Merit - Freelancing, BCS, Bank, Primary, Admission, NTRCA

1 . The average age of husband wife and their child 4 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

A. 35
B. 40
C. 50
D. None

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Answer: Option B

Explanation:

Let's denote the present ages of the husband, wife, and child as H, W, and C, respectively.

According to the given information:

Four years ago, the average age of the husband, wife, and child was 27 years. So, (H - 4 + W - 4 + C - 4) / 3 = 27.

Five years ago, the average age of the wife and child was 20 years. So, (W - 5 + C - 5) / 2 = 20.

We can simplify these equations:

1. (H + W + C - 12) / 3 = 27.

2. (W + C - 10) / 2 = 20.

Now, let's solve this system of equations:

From equation 2, we can express W + C as 2 * 20 + 10 = 50.

Substitute this value into equation 1:

(H + 50 - 12) / 3 = 27.

H + 38 = 81.

H = 81 - 38.

H = 43.

So, the present age of the husband is 43 years.

তিতাস গ্যাস ট্রান্সমিশন অ্যান্ড ডিস্ট্রিবিউসন কো. লি.-সহকারী ব্যবস্থাপক-08-10-2021

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